Moonshine the first quarter century and beyond : proceedings of a workshop on the moonshine conjectures and vertex algebras

The theory of 'Monstrous Moonshine' has been a major development in mathematics since 1979. Beginning with remarkable conjectures relating finite group theory and number theory that stimulated an outpouring of new ideas, 'Monstrous Moonshine' deeply involves many different areas...

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Weitere Verfasser: Lepowsky, J. (HerausgeberIn), McKay, John 1939- (HerausgeberIn), Tuite, Michael P. (HerausgeberIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Cambridge Cambridge University Press 2010
Schriftenreihe:London Mathematical Society lecture note series 372
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Inhaltsangabe:
  • Characters of crossed modules and premodular categories Peter Bantay On the injectivity of the Kudla-Millson life and surjectivity of the Borcherds lift Jan Hendrik Bruinier and Jens Funke Ordered spanning sets for vertex operator algebras and their modules Geoffrey Buhl Friendly giant meets pointlike instantons? On a new conjecture by John McKay Anda Degeratu and Katrin Wendland Modularity of trace functions in orbifold theory for Z-graded vertex operator superalgebras Chongying Dong and Zhongping Zhao Twisted modules for vertex operator algebras Benjamin Doyon Vertex operators and sporadic groups John F. Duncan The algebraic meaning of being a Hauptmodul Terry Gannon Borcherds' proof of the Conway-Norton conjecture Elizabeth Jurisich On the connection of certain lie algebras with vertex algebras Haisheng Li Vertex operators and arithmetic : how a single photon illuminates number theory Geoffrey Mason Rational vertex operator algebras and their orbifolds Geoffrey Mason Quasi-finite algebras graded by Hamiltonian and vertex operator algebras Atsushi Matsuo, Kiyokazu Nagatomo and Akihiro Tsuchiya On certain automorphic forms associated to rational vertex operator algebras Antun Milas Moonshine and group cohomology C.B. Thomas Monstrous and generalized moonshine and permutation orbifolds Michael P. Tuite New computations in the monster Robert A. Wilson